add 5(0.5k-1)+2(0.4-k) answer should be in decimal form

Answers

Answered by GPT-4o mini
Let's simplify the expression \( 5(0.5k - 1) + 2(0.4 - k) \).

1. Distribute \( 5 \) in the first term:
\[
5(0.5k - 1) = 5 \cdot 0.5k - 5 \cdot 1 = 2.5k - 5
\]

2. Distribute \( 2 \) in the second term:
\[
2(0.4 - k) = 2 \cdot 0.4 - 2 \cdot k = 0.8 - 2k
\]

3. Now, combine the results from the two distributions:
\[
2.5k - 5 + 0.8 - 2k
\]

4. Combine like terms (the \( k \) terms and the constant terms):
- For the \( k \) terms: \( 2.5k - 2k = 0.5k \)
- For the constant terms: \( -5 + 0.8 = -4.2 \)

Thus, the simplified expression is:
\[
0.5k - 4.2
\]

If you'd like a specific numerical value, please provide a value for \( k \). Otherwise, the final answer in decimal form is:
\[
0.5k - 4.2
\]
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